Concept
Covering groups of the alternating and symmetric groups
Publications associées (8)
Local invertibility and sensitivity of atomic structure-feature mappings
Michele Ceriotti, Sergey Pozdnyakov
Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety o ...
2021Unsplittable Coverings in the Plane
A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...
Springer-Verlag Berlin2016Quasi-hereditary property of double Burnside algebras
Baptiste Thierry Pierre Rognerud
In this short note, we investigate some consequences of the vanishing of simple biset functors. As a corollary, if there is no non-trivial vanishing of simple biset functors (e.g., if the group G is commutative), then we show that kB(G,G) is a quasi-heredi ...
Elsevier2015Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups
Donna Testerman, Martin W. Liebeck
For G a simple algebraic group over an algebraically closed field of characteristic 0, we determine the irreducible representations ρ:G→I(V), where I(V) denotes one of the classical groups SL(V), Sp(V), SO(V), such that ρ sends some distinguished unipotent ...
2015